Results 11 to 20 of about 3,779,631 (328)
Positive solutions for nonparametric anisotropic singular solutions [PDF]
We consider an elliptic equation driven by a nonlinear, nonhomogeneous differential operator with nonstandard growth. The reaction has the combined effects of a singular term and of a "superlinear" perturbation.
Nikolaos S. Papageorgiou +2 more
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Multiple positive solutions to elliptic boundary blow-up problems [PDF]
We prove the existence of multiple positive radial solutions to the sign-indefinite elliptic boundary blow-up problem \[ \left\{\begin{array}{ll} \Delta u + \bigl(a^+(\vert x \vert) - \mu a^-(\vert x \vert)\bigr) g(u) = 0, & \; \vert x \vert < 1, \\ u(x)
Aftalion +44 more
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Positive solutions for parametric (p(z),q(z))-equations
We consider a parametric elliptic equation driven by the anisotropic (p,q)(p,q)-Laplacian. The reaction is superlinear. We prove a “bifurcation-type” theorem describing the change in the set of positive solutions as the parameter λ\lambda moves in ℝ+=(0,
Gasiński Leszek +2 more
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Positive Solutions of a Class of Operator Equations [PDF]
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Cvetkovic, Aleksandar +2 more
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On Positive Solutions of the Heat Equation [PDF]
Consider the positive and twice continuously differentiable solutions u of the heat equationin an open t-strip Ω = Rn×(0,T) for some T>0, where Rn is the n-dimensional Euclidean space.In this note, we prove a theorem of Fatou type on u and, as its application, the uniqueness theorem for the Cauchy problem of ( 1 ).
openaire +2 more sources
In this paper, we deal with a strong coupled predator–prey model with modified Holling–Tanner functional response under homogeneous Neumann boundary conditions. We mainly discuss the following two problems: (1) stability of the positive constant solution;
Rong Zeng
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Farm dams are a ubiquitous feature in agricultural landscapes worldwide, functioning as a major source of water for livestock or crop irrigation. Their number is increasing rapidly, often dominating the cumulative surface area of inland waters. Unmanaged
K.U.D.N. Hansani +3 more
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New Positive Solutions of Nonlinear Elliptic PDEs
We are concerned with positive solutions of two types of nonlinear elliptic boundary value problems (BVPs). We present conditions for existence, uniqueness and multiple positive solutions of a first type of elliptic BVPs.
Mustafa Inc +6 more
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Positive solutions for nonvariational Robin problems
We study a nonlinear Robin problem driven by the $p$-Laplacian and with a reaction term depending on the gradient (the convection term). Using the theory of nonlinear operators of monotone-type and the asymptotic analysis of a suitable perturbation of ...
Papageorgiou, Nikolaos S. +2 more
core +2 more sources
Global potential for seaweed aquaculture on existing offshore infrastructure
Seaweed aquaculture is growing 8.9 % annually to a forecast US$ 22.13 billion in 2024 and has several environmental, economic and social co-benefits. A proposed approach to expanding seaweed aquaculture is to develop offshore aquaculture.
Finnley W.R. Ross +2 more
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